Lebesgue Norm

Definition

• With $p$ as a positive Real Number
• With $V={\mathbb{F}}^n$
• With $\mathbb{F}=\mathbb{R}$ or $\mathbb{C}$
• Let $x=(x_1,\dots ,x_n)$
• Then, $||x|{|}_p=\sqrt[p]{{\sum }_{i=1}^n|x_i{|}^p}$